Answer:

Step-by-step explanation:
first thing I assume by f~¹ you meant
however
we want to find <u>a²</u><u>+</u><u>3</u><u>x</u><u>-</u><u>3</u><u> </u>for the given condition. with the composite function condition we can do so
<u>Finding</u><u> the</u><u> </u><u>inverse</u><u> of</u><u> </u><u>f(</u><u>x)</u><u>:</u>

substitute y for f(x):

interchange:

square both sides:

cancel 1 from both sides:

divide both sides by a:

substitute f^-1 for y:

<u>finding</u><u> the</u><u> </u><u>inverse</u><u> of</u><u> </u><u>g(</u><u>x)</u><u>:</u>

substitute y for g(x)

interchange:

cross multiplication

cancel 1 from both sides

factor out y:

divide both sides by 1-x:

substitute g^-1 for y:

remember that

therefore we obtain:

since (f~¹•g~¹)(3)=-⅜ thus substitute:

simplify parentheses:

simplify square:

simplify substraction:

simplify complex fraction:

get rid of - sign:

divide both sides by 3:

cross multiplication:

divide both sides by 4:

as we want to find <u>a²</u><u>+</u><u>3</u><u>a</u><u>-</u><u>3</u><u> </u>substitute the got value of a:

simplify square:

simplify multiplication:

simplify addition:

simplify substraction:

and we are done!
The formula for the volume of a cube is:
V = a^3
Plug in what we know:
125 = a^3
Cube the other side:
Answer:
12 square units.
Step-by-step explanation:
We must find the area of each shape and add together. The area of a triangle is 1/2 base times height. The smaller triangles area is 2 and the larger triangle's area is 6. The area of the square is 4... so when all added together, we have 12.